Consider the Following Constraints from a Two-Variable Linear Program

question 83

Multiple Choice

Consider the following constraints from a two-variable linear program. (1) X ≥1
(2) Y ≥1
(3) X + Y ≤ 9
If these are the only constraints, which of the following points (X, Y) cannot be the optimal solution?

• A) (1, 1)
• B) (1, 8)
• C) (8, 1)
• D) (4, 4)
• E) The question cannot be answered without knowing the objective function.

---

Definitions:

Modal Class

The category or interval in a set of data with the highest frequency, often used in analyzing categorical or grouped numerical data.

Histogram

A graphical representation of data using bars of different heights, where each bar groups numbers into ranges, showing the frequency of data within each range.

Observations

Individual pieces of data collected during a study or experiment.

Relative Frequencies

The ratio of the number of times a particular value occurs to the total number of observations, often expressed as a percentage.